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It is well known that the momentum distribution of the two-component Fermi gas with large scattering length has a tail proportional to $1/k^4$ at large $k$. We show that the magnitude of this tail is equal to the adiabatic derivative of the…

Statistical Mechanics · Physics 2015-06-25 Shina Tan

We investigate the formation of three-body bound states in the continuum by tracing pole trajectories in the complex energy plane under variation of system parameters. Using a one-dimensional model of two identical bosons and a…

Quantum Physics · Physics 2026-01-19 Lucas Happ

Physical systems with a large scattering length have universal properties independent of the details of the interaction at short distances. Such systems can be realized in experiments with cold atoms close to a Feshbach resonance. They also…

Other Condensed Matter · Physics 2008-11-26 H. -W. Hammer

The many-body Schr\"odinger dynamics of a one-dimensional bosonic Josephson junction is investigated for up to ten thousand bosons and long times. The initial states are fully condensed and the interaction strength is weak. We report on a…

Quantum Gases · Physics 2014-05-15 Kaspar Sakmann , Alexej I. Streltsov , Ofir E. Alon , Lorenz S. Cederbaum

Efimov physics is a universal phenomenon arising in quantum three-body systems. For systems with resonant two-body interactions, Efimov predicted an infinite series of three-body bound states with geometric scaling symmetry. These Efimov…

Quantum Gases · Physics 2017-09-13 Jacob Johansen , B. J. DeSalvo , Krutik Patel , Cheng Chin

A non-relativistic system of three identical particles will display a rich set of universal features known as Efimov physics if the scattering length a is much larger than the range l of the underlying two-body interaction. An appropriate…

Other Condensed Matter · Physics 2009-11-13 Lucas Platter , Chen Ji , Daniel R. Phillips

We present a comprehensive derivation of a set of universal relations for spin-orbit-coupled Fermi gases in three or two dimension, which follow from the short-range behavior of the two-body physics. Besides the adiabatic energy relations,…

Quantum Gases · Physics 2020-04-29 Cai-Xia Zhang , Shi-Guo Peng , Kaijun Jiang

The Efimov effect was first predicted for three particles interacting at an $s$-wave resonance in three dimensions. Subsequent study showed that the same effect can be realized by considering two-body and three-body interactions in mixed…

Quantum Gases · Physics 2017-09-27 Pengfei Zhang , Zhenhua Yu

We investigate universal behavior in the recombination rate of three bosons close to threshold. Using the He-He system as a reference, we solve the three-body Schr\"odinger equation above the dimer threshold for different potentials having…

Atomic Physics · Physics 2013-09-17 E. Garrido , M. Gattobigio , A. Kievsky

Armed with a new solution to the four-body problem, we reanalyze the recent Innsbruck observation of an Efimov resonance in three-body collisions of cesium atoms, and show that it provides evidence of new, universal four-body physics as…

Atomic Physics · Physics 2009-06-02 Javier von Stecher , Jose P. D'Incao , Chris H. Greene

We experimentally confirmed the threshold behavior and scattering length scaling law of the three-body loss coefficients in an ultracold spin-polarized gas of $^6$Li atoms near a $p$-wave Feshbach resonance. We measured the three-body loss…

Quantum Gases · Physics 2018-04-04 Jun Yoshida , Taketo Saito , Muhammad Waseem , Keita Hattori , Takashi Mukaiyama

We show the renormalization of contact interaction for odd-wave scattering in one-dimension(1D). Based on the renormalized interaction, we exactly solve the two-body problem in a harmonic trap, and further explore the universal properties…

Quantum Gases · Physics 2016-10-25 Xiaoling Cui

We study ultracold three-body collisions of bosons and fermions when the interatomic interaction is tuned near a narrow Feshbach resonance. We show that the width of the resonance has a substantial impact on the collisional properties of…

Quantum Physics · Physics 2011-05-04 Yujun Wang , J. P. D'Incao , B. D. Esry

We report on the observation of triatomic Efimov resonances in an ultracold gas of cesium atoms. Exploiting the wide tunability of interactions resulting from three broad Feshbach resonances in the same spin channel, we measure…

Strongly interacting one-dimensional quantum systems often behave in a manner that is distinctly different from their higher-dimensional counterparts. When a particle attempts to move in a one-dimensional environment it will unavoidably…

We use an effective field theory for short-range forces (SREFT) to analyze systems of three identical bosons interacting via a two-body potential that generates a scattering length, $a$, which is large compared to the range of the…

Nuclear Theory · Physics 2013-11-21 Chen Ji , Daniel R. Phillips

The charged exotic mesons Z_b(10610) and Z'_b(10650) observed by the Belle collaboration in 2011 are very close to the B* Bbar and B* Bbar* thresholds, respectively. This suggests their interpretation as shallow hadronic molecules of B and…

High Energy Physics - Phenomenology · Physics 2025-05-07 Yong-Hui Lin , Erik Wilbring , Hai-Long Fu , Hans-Werner Hammer , Ulf-G. Meißner

We investigate local quantum field theories for one-dimensional (1D) Bose and Fermi gases with contact interactions, which are closely connected with each other by Girardeau's Bose-Fermi mapping. While the Lagrangian for bosons includes…

Quantum Gases · Physics 2021-04-09 Yuta Sekino , Yusuke Nishida

We study the problem of particle indistinguishability for the three cases known in nature: identical classical particles, identical bosons and identical fermions. By exploiting the fact that different types of particles are associated with…

Quantum Physics · Physics 2013-08-09 Falk Töppel , Andrea Aiello

Short-range correlations between nucleon pairs in different spin-isospin channels are investigated for light nuclei using the Argonne V8' interaction. At distances below 1 fm a universal behavior is found for the deuteron, 3H, 3He and for…

Nuclear Theory · Physics 2011-11-14 H. Feldmeier , W. Horiuchi , T. Neff , Y. Suzuki
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